Abstract
A version of the classical shot-noise process is adopted in this paper as a streamflow model. We discuss some of its basic properties which may have a potential interest in applications. Among the features investigated here are its covariance function, the duration of its excursions above a certain threshold level, X0, and its extreme values. We obtained the distribution function of its maximum value in an arbitrary time interval [o, t] in a simple form. Our principal concern here is the physical base for application of the shot-noise process as a streamflow model. We discuss, in some detail, the climatic conditions and geomorphological features of a watershed which suggest that the shot-noise model may be feasible. In this respect, of central importance is the set of the discontinuity points of the process, which represents the building blocks of the entire structure. Their importance stems from the fact that they represent the occurrence times of those rainfall events which are capable of generating an effective runoff. Section 3 provides a physically plausible explanartion of why this set of points represents a nonhomogeneous poisson point process.
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© 1987 D. Reidel Publishing Company
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Todorovic, P., Woolhiser, D.A. (1987). A Shot-noise Model of Streamflow. In: Singh, V.P. (eds) Flood Hydrology. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3957-8_12
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DOI: https://doi.org/10.1007/978-94-009-3957-8_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8255-6
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